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Finding the Third Proportional to 100,569 and 220,341

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Solution

The third proportional to 100,569 and 220,341 is: 482,754.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,569 : 220,341 = 220,341 : x
  2. Step 2: Convert to fraction form
    100,569/220,341 = 220,341/x
  3. Step 3: Cross multiply
    100,569x = 220,341 × 220,341
  4. Step 4: Simplify right side
    100,569x = 48,550,156,281
  5. Step 5: Solve for x
    x = 48,550,156,281/100,569
  6. Step 6: Final answer
    x = 482,754.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.